ISS-like properties in Lie-bracket approximations and application to extremum seeking.
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| Title: | ISS-like properties in Lie-bracket approximations and application to extremum seeking. |
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| Authors: | Labar, Christophe1,2 (AUTHOR) christophe.labar@ic.rwth-aachen.de, Ebenbauer, Christian2 (AUTHOR) christian.ebenbauer@ic.rwth-aachen.de, Marconi, Lorenzo1 (AUTHOR) lorenzo.marconi@unibo.it |
| Source: | Automatica. Feb2022, Vol. 136, pN.PAG-N.PAG. 1p. |
| Subjects: | Time-varying systems, Nonlinear systems, Dynamical systems |
| Abstract: | In this paper, we consider a class of nonlinear time-varying systems that are subject to uncontrolled inputs. Those inputs may represent, for instance, disturbances, time-varying parameters, or model uncertainties. Exploiting the stability properties of an extended system, a so-called Lie-bracket system , we derive stability properties of the original system. Those stability results, in the spirit of input-to-state stability, are then applied to the case where the dynamical system is an extremum seeking system. Two scenarios are analyzed. We first consider that the uncontrolled input is a deterministic noise corrupting the cost measurement. We then examine the case where the uncontrolled input induces time-variations of the cost optimizer. [ABSTRACT FROM AUTHOR] |
| Copyright of Automatica is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 154313957 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: ISS-like properties in Lie-bracket approximations and application to extremum seeking. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Labar%2C+Christophe%22">Labar, Christophe</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> christophe.labar@ic.rwth-aachen.de</i><br /><searchLink fieldCode="AR" term="%22Ebenbauer%2C+Christian%22">Ebenbauer, Christian</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> christian.ebenbauer@ic.rwth-aachen.de</i><br /><searchLink fieldCode="AR" term="%22Marconi%2C+Lorenzo%22">Marconi, Lorenzo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lorenzo.marconi@unibo.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Automatica%22">Automatica</searchLink>. Feb2022, Vol. 136, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Time-varying+systems%22">Time-varying systems</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we consider a class of nonlinear time-varying systems that are subject to uncontrolled inputs. Those inputs may represent, for instance, disturbances, time-varying parameters, or model uncertainties. Exploiting the stability properties of an extended system, a so-called Lie-bracket system , we derive stability properties of the original system. Those stability results, in the spirit of input-to-state stability, are then applied to the case where the dynamical system is an extremum seeking system. Two scenarios are analyzed. We first consider that the uncontrolled input is a deterministic noise corrupting the cost measurement. We then examine the case where the uncontrolled input induces time-variations of the cost optimizer. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Automatica is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.automatica.2021.110041 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Time-varying systems Type: general – SubjectFull: Nonlinear systems Type: general – SubjectFull: Dynamical systems Type: general Titles: – TitleFull: ISS-like properties in Lie-bracket approximations and application to extremum seeking. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Labar, Christophe – PersonEntity: Name: NameFull: Ebenbauer, Christian – PersonEntity: Name: NameFull: Marconi, Lorenzo IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 00051098 Numbering: – Type: volume Value: 136 Titles: – TitleFull: Automatica Type: main |
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